Use the properties of operations to subtract (p−3)−(2.4+2p)

(
𝑝

3
)

(
2.4
+
2
𝑝
)
.(1 point)
Responses

−p+5.4

𝑝
+
5.4
negative p plus 5.4

3p−5.4
3
𝑝

5.4
3 p minus 5.4

−p−5.4

𝑝

5.4
negative p minus 5.4

p−5.4
𝑝

5.4
p minus 5.4 ..

1 answer

To simplify the expression \((p - 3) - (2.4 + 2p)\), we will follow the steps systematically.

  1. Start with the expression: \[ (p - 3) - (2.4 + 2p) \]

  2. Distribute the negative sign to the second part: \[ p - 3 - 2.4 - 2p \]

  3. Now, combine the like terms:

    • Combine the \(p\) and \(-2p\): \[ p - 2p = -p \]
    • Combine the constant terms \(-3\) and \(-2.4\): \[ -3 - 2.4 = -5.4 \]
  4. Putting it all together, we have: \[ -p - 5.4 \]

So the final result is: \[ \boxed{-p - 5.4} \]

The correct response from the options provided is \(-p - 5.4\).

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